Davis-Wielandt-Berezin radius inequalities of reproducing kernel Hilbert space operators

被引：1
|
作者：
Sen, Anirban [1 ]
Bhunia, Pintu [2 ]
Paul, Kallol [1 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India
[2] Indian Inst Sci, Dept Math, Bengaluru 560012, Karnataka, India
来源：
AFRIKA MATEMATIKA | 2023年 / 34卷 / 03期
关键词：
Davis-Wielandt radius; Berezin norm; Berezin number; Reproducing kernel Hilbert space; NUMERICAL RADIUS; UPPER-BOUNDS;
D O I：
10.1007/s13370-023-01089-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Several upper and lower bounds of the Davis-Wielandt-Berezin radius of bounded linear operators defined on a reproducing kernel Hilbert space are given. Further, an inequality involving the Berezin number and the Davis-Wielandt-Berezin radius for the sum of two bounded linear operators is obtained, namely, if A and B are reproducing kernel Hilbert space operators, then eta(A + B) <= eta(A) + eta(B) + ber( A* B + B* A), where eta(center dot) and ber(center dot) are the Davis-Wielandt-Berezin radius and the Berezin number, respectively.
引用
收藏
页数：14
相关论文
共 50 条
  • [21] On Some Problems for Reproducing Kernel Hilbert Space Operators via the Berezin Transform
    Karaev, M. T.
    Tapdigoglu, R.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (01)
  • [22] On Some Problems for Reproducing Kernel Hilbert Space Operators via the Berezin Transform
    M. T. Karaev
    R. Tapdigoglu
    Mediterranean Journal of Mathematics, 2022, 19
  • [23] ON GENERALIZED DAVIS-WIELANDT RADIUS INEQUALITIES OF SEMI-HILBERTIAN SPACE OPERATORS
    Bhanja, Aniket
    Bhunia, Pintu
    Paul, Kallol
    OPERATORS AND MATRICES, 2021, 15 (04): : 1201 - 1225
  • [24] Berezin number and numerical radius inequalities for operators on Hilbert spaces
    Satyajit Sahoo
    Namita Das
    Debasisha Mishra
    Advances in Operator Theory, 2020, 5 : 714 - 727
  • [25] Berezin number and numerical radius inequalities for operators on Hilbert spaces
    Sahoo, Satyajit
    Das, Namita
    Mishra, Debasisha
    ADVANCES IN OPERATOR THEORY, 2020, 5 (03) : 714 - 727
  • [26] INEQUALITIES INVOLVING BEREZIN NORM AND BEREZIN NUMBER OF HILBERT SPACE OPERATORS
    Nikzat, Eham
    Omidvar, Mohsen erfanian
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (04): : 1289 - 1301
  • [27] Berezin Number Inequality for Convex Function in Reproducing Kernel Hilbert Space
    Yamanci, Ulas
    Gurdal, Mehmet
    Garayev, Mubariz T.
    FILOMAT, 2017, 31 (18) : 5711 - 5717
  • [28] Numerical Radius Inequalities for Hilbert Space Operators
    Alomari, Mohammad W.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2021, 15 (07)
  • [29] Spectral radius inequalities for Hilbert space operators
    Kittaneh, F
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (02) : 385 - 390
  • [30] On some problems for operators on the reproducing kernel Hilbert space
    Garayev, M. T.
    Guediri, H.
    Gurdal, M.
    Alsahli, G. M.
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (11): : 2059 - 2077
12345